Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F

Time bar (total: 1.7s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample793.0ms (45.6%)

Results
748.0ms8256×body256valid
Bogosity

preprocess44.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
14×sub-neg
12×fma-def
10×+-commutative
8×associate-+l-
6×associate--r+
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
11821
22621
33421
44421
55621
67121
77521
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 3))
(+.f64 x (/.f64 1 3))
(+.f64 (neg.f64 x) (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
(+.f64 (neg.f64 x) (/.f64 1 3))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x 1/3)
▶100.0%
(+.f64 x 1/3)
Compiler

Compiled 8 to 6 computations (25% saved)

localize23.0ms (1.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x 1/3)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 x 1/3)
0.0ms
x
@0
(+.f64 x 1/3)
0.0ms
x
@-inf
(+.f64 x 1/3)

rewrite75.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
1142×pow1
1068×add-exp-log
1068×log1p-expm1-u
1068×expm1-log1p-u
1050×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
213917
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 x 1/3)
Outputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)

simplify46.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1702×fma-def
1262×distribute-rgt-in
1238×distribute-lft-in
606×associate-*r*
562×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080646
1188586
2577490
33151490
Stop Event
1×node limit
Counts
42 → 37
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)

eval8.0ms (0.4%)

Compiler

Compiled 319 to 235 computations (26.3% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438
Accuracy
100.0%
Counts
38 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓100.0%
(+.f64 x 1/3)
54.0%
x
47.5%
1/3
▶99.3%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓100.0%
(+.f64 x 1/3)
54.0%
x
47.5%
1/3
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize31.0ms (1.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 1 (+.f64 x 1/3))
100.0%
(+.f64 x 1/3)
✓99.3%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 1 (+.f64 x 1/3))
0.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms
x
@0
(+.f64 1 (+.f64 x 1/3))
0.0ms
x
@-inf
(+.f64 1 (+.f64 x 1/3))
0.0ms
x
@-inf
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)

rewrite64.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
1952×pow1
1840×add-exp-log
1838×log1p-expm1-u
1838×expm1-log1p-u
196×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
118814
2267214
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1 (+.f64 x 1/3))
Outputs
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 (+.f64 x 1/3) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)

simplify62.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1164×times-frac
762×cancel-sign-sub-inv
636×associate--r+
596×unswap-sqr
494×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02092249
15112061
221292041
Stop Event
1×node limit
Counts
115 → 122
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 (+.f64 x 1/3) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1/3 x)
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(+.f64 (+.f64 1 x) -2/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x -2/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 5/3 x))
(/.f64 (-.f64 1 (*.f64 (-.f64 2/3 x) (-.f64 2/3 x))) (-.f64 5/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(+.f64 x 4/3)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(*.f64 1 (+.f64 x 4/3))
(+.f64 x 4/3)
(*.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 (pow.f64 (+.f64 1/3 x) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 1/9 (*.f64 1/3 (+.f64 x 1)))))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) 1/9) (*.f64 (+.f64 x 1) -1/3)))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 1/9 (*.f64 (+.f64 x 1) (+.f64 x 2/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 1 (-.f64 x 1/3)))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 x 2/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log1p.f64 (+.f64 1/3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(exp.f64 (log1p.f64 (+.f64 1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 1 (+.f64 x 1/3) 1)
(+.f64 x 4/3)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)) (cbrt.f64 (+.f64 1/3 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)
(+.f64 x 4/3)

eval52.0ms (3%)

Compiler

Compiled 1899 to 1556 computations (18.1% saved)

prune20.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1581159
Fresh022
Picked101
Done011
Total1594163
Accuracy
100.0%
Counts
163 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
54.0%
x
47.5%
1/3
▶99.3%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
54.0%
x
47.5%
1/3
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize69.0ms (4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x -2/3)
✓99.3%
(+.f64 (+.f64 x -2/3) 1)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (+.f64 x -2/3) 1)
0.0ms
x
@0
(+.f64 x -2/3)
0.0ms
x
@-inf
(+.f64 x -2/3)
0.0ms
x
@inf
(+.f64 x -2/3)
0.0ms
x
@inf
(+.f64 (+.f64 x -2/3) 1)

rewrite116.0ms (6.7%)

Algorithm
1×batch-egg-rewrite
Rules
1628×pow1
1530×add-exp-log
1530×log1p-expm1-u
1530×expm1-log1p-u
1510×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115714
2202614
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(+.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
Outputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))) (neg.f64 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(-.f64 (+.f64 x 1/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 1 x -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)

simplify48.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1108×fma-def
968×distribute-lft-in
964×distribute-rgt-in
664×unswap-sqr
620×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01601303
13851201
214901173
Stop Event
1×node limit
Counts
93 → 89
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-2/3
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))) (neg.f64 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(-.f64 (+.f64 x 1/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 1 x -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-2/3
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(*.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 1 (/.f64 (+.f64 x -5/3) (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))))
(+.f64 1/3 x)
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (+.f64 x -5/3))
(+.f64 1/3 x)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))) (neg.f64 (+.f64 x -5/3)))
(+.f64 1/3 x)
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x -1/3 1/9)))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 (-.f64 1 x) -2/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 5/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x -2/3) 1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(+.f64 1/3 x)
(-.f64 (+.f64 x 1/3) 1)
(+.f64 x -2/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 2/3) x)) (/.f64 4/9 (+.f64 x 2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 2/3)) x) (/.f64 -4/9 (+.f64 x 2/3)))
(fma.f64 (/.f64 x (+.f64 x 2/3)) x (/.f64 -4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
(*.f64 1 (+.f64 x -2/3))
(+.f64 x -2/3)
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(+.f64 x -2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(+.f64 x -2/3)
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(+.f64 x -2/3)
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(+.f64 x -2/3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(+.f64 x -2/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(+.f64 x -2/3)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(+.f64 x -2/3)
(log.f64 (exp.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(+.f64 x -2/3)
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 x -2/3)
(exp.f64 (log.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(fma.f64 1 x -2/3)
(+.f64 x -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(+.f64 x -2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
(+.f64 x -2/3)

eval23.0ms (1.4%)

Compiler

Compiled 947 to 745 computations (21.3% saved)

prune13.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh022
Picked011
Done011
Total88593
Accuracy
100.0%
Counts
93 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
▶46.8%
(+.f64 -2/3 1)
54.0%
x
47.5%
1/3
✓99.3%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
▶46.8%
(+.f64 -2/3 1)
54.0%
x
47.5%
1/3
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize26.0ms (1.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓98.4%
(+.f64 -2/3 1)
Compiler

Compiled 7 to 7 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite79.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
698×pow1
698×add-sqr-sqrt
674×*-un-lft-identity
656×add-exp-log
656×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
1961
28951
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 -2/3 1)
Outputs
1/3

simplify12.0ms (0.7%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
1/3
Outputs
1/3

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New101
Fresh022
Picked011
Done022
Total156
Accuracy
100.0%
Counts
6 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
✓46.8%
(+.f64 -2/3 1)
54.0%
x
47.5%
1/3
Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes16.0ms (0.9%)

Counts
7 → 1
Calls
Call 1
Inputs
1/3
x
(+.f64 -2/3 1)
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 (+.f64 x -2/3) 1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
Outputs
(+.f64 x 1/3)
Calls

2 calls:

8.0ms
x
4.0ms
(+.f64 x (/.f64 1 3))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 x (/.f64 1 3))
Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes12.0ms (0.7%)

Counts
3 → 3
Calls
Call 1
Inputs
1/3
x
(+.f64 -2/3 1)
Outputs
x
1/3
x
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
1/3
Outputs
1/3
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
47.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch29.0ms (1.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.00048063924521624357
7.930255889247755
17.0ms
-37943132.44935081
-1.454501156574223e-15
Results
26.0ms304×body256valid
Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
12029
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x 1/3)
(if (<=.f64 x -6034823500676465/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Outputs
(+.f64 x 1/3)
(if (<=.f64 x -6034823500676465/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness27.0ms (1.5%)

Rules
14×sub-neg
12×fma-def
10×+-commutative
8×associate-+l-
6×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
11821
22621
33421
44421
55621
67121
77521
Stop Event
1×saturated
Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess27.0ms (1.6%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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